Search a number
-
+
2230145130000 = 24354535923773
BaseRepresentation
bin100000011100111111000…
…000100001111000010000
321220012101122111210202210
4200130333000201320100
5243014314123130000
64424303045512120
7320060034555324
oct40347700417020
97805348453683
102230145130000
1178a887871367
12300273112640
131323c0030978
1479d22397984
153d027b97350
hex2073f021e10

2230145130000 has 400 divisors, whose sum is σ = 7459676389440. Its totient is φ = 573570816000.

The previous prime is 2230145129959. The next prime is 2230145130013. The reversal of 2230145130000 is 315410322.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93798114 + ... + 93821886.

Almost surely, 22230145130000 is an apocalyptic number.

2230145130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230145130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729838194720).

2230145130000 is an abundant number, since it is smaller than the sum of its proper divisors (5229531259440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2230145130000 is a wasteful number, since it uses less digits than its factorization.

2230145130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 2230145130000 in words is "two trillion, two hundred thirty billion, one hundred forty-five million, one hundred thirty thousand".